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Finding the Third Proportional to 326,230,915 and 494,084,557.50

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Solution

The third proportional to 326,230,915 and 494,084,557.50 is: 748,302,931.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,230,915 : 494,084,557.50 = 494,084,557.50 : x
  2. Step 2: Convert to fraction form
    326,230,915/494,084,557.50 = 494,084,557.50/x
  3. Step 3: Cross multiply
    326,230,915x = 494,084,557.50 × 494,084,557.50
  4. Step 4: Simplify right side
    326,230,915x = 244,119,549,959,970,816
  5. Step 5: Solve for x
    x = 244,119,549,959,970,816/326,230,915
  6. Step 6: Final answer
    x = 748,302,931.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.